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Evaluation of effectiveness of investments


Some basic information about the module

Cycle of education:
2015/2016
The name of the faculty organization unit:
The faculty Mathematics and Applied Physics
The name of the field of study:
Mathematics
The area of study:
sciences
The profile of studing:
The level of study:
second degree study
Type of study:
full time
discipline specialities :
Applications of Mathematics in Computer Science, Applications of Mathematics in Economics
The degree after graduating from university:
The name of the module department :
Department of Mathematics
The code of the module:
1490
The module status:
mandatory for the speciality Applications of Mathematics in Economics
The position in the studies teaching programme:
sem: 2 / W30 C30 / 4 ECTS / Z
The language of the lecture:
Polish
The name of the coordinator:
Beata Rzepka, prof. PRz, DSc, PhD
office hours of the coordinator:
w terminach podanych w harmonogramie pracy jednostki.
semester 2:
Mariola Walczyk, PhD

The aim of studying and bibliography

The main aim of study:
To familiarize the students with the notion of the financial and physical investment as well as with methods of evaluation of their effectiveness. Upon completion of this module the student should know the indicators and methods (static and dynamic) of evaluate of the effectiveness of the investments.

The general information about the module:
The module is implemented in the second semester. It consists of 30 hours of lectures and 30 hours of tutorials.

Bibliography required to complete the module
Bibliography used during lectures
1 M. Sierpińska, T. Jachna Ocena przedsiębiorstwa według standardów światowych PWN, Warszawa. 2006
2 M. Sobczyk Matematyka finansowa Agencja Wydawnicza PLACET, Warszawa. 2011
3 E. Nowak, E. Pielichaty, M. Poszwa Rachunek opłacalności inwestowania Polskie Wydawnictwo Ekonomiczne, Warszawa. 1999
4 W. Rogowski Rachunek efektywności przedsięwzięć inwestycyjnych Oficyna Ekonomiczna, Oddział Polskich Wydawnictw Profesjonalnych Sp. z o.o., Kraków. 2004
5 M. Podgórska, J. Klimkowska Matematyka finansowa PWN, Warszawa. 2005
6 K. Jajuga, T. Jajuga Inwestycje: instrumenty finansowe, ryzyko finansowe, inżynieria finansowa PWN, Warszawa. 1999
Bibliography used during classes/laboratories/others
1 M. Sobczyk Matematyka finansowa Agencja Wydawnicza PLACET, Warszawa. 2011
2 M. Podgórska, J. Klimkowska Matematyka finansowa PWN, Warszawa. 2005
3 M. Sierpińska, T. Jachna Ocena przedsiębiorstwa według standardów światowych PWN, Warszawa. 2006

Basic requirements in category knowledge/skills/social competences

Formal requirements:
Basic knowledge of mathematics of finance.

Basic requirements in category knowledge:
A student has mathematical knowledge which allows him to understand mathematical terms which are lectured.

Basic requirements in category skills:
Ability to use fundamental mathematical tools in order to solve a task.

Basic requirements in category social competences:
A student is prepared to undertake substantiated mathematical operations in order to solve a task.

Module outcomes

MEK The student who completed the module Types of classes / teaching methods leading to achieving a given outcome of teaching Methods of verifying every mentioned outcome of teaching Relationships with KEK Relationships with OEK
MEK01 knows how to evaluate physical investment by using static methods for assessing effectiveness: payback period, accounting rate of return, calculus of break even points, sensitivity analysis lecture, tutorials test K-W002+
K-U002+
K-U016+
 W01++
U03+
U05+
MEK02 knows how to evaluate physical investment or financial investment by using dynamic methods for assessing effectiveness: net present value, internal rate of return lecture, tutorials test K-W002+
K-W004+
K-U002+
K-U016+
K-K001+
K-K002+
K-K003+
K-K004+
 W01++
U03+
U05+
U07+
K01+
K02+
K03+
K04+
K05+
K06+
K07+
MEK03 knows how to describe financial investment by using deterministic sequence of payments lecture, tutorials test K-W002+
K-U002+
K-U016+
 W01++
U03+
U05+

The syllabus of the module

Sem. TK The content realized in MEK
2 TK01 The notion of physical investment and financial investment. Investment project. W01, C01 MEK01 MEK02 MEK03
2 TK02 Static methods of evaluation of effectiveness of investments: payback period, accounting rate of return, calculus of break even points (quantity and value break even point), sensitivity analysis (margin of safety of the investment project). W02, W03, W04, W05, C02, C03, C04, C05 MEK01
2 TK03 Dynamic methods of evaluation of effectiveness of investments: net present value of physical investment, properties of net present value, net present value of physical investment taking into account risk, internal rate of return and its properties, sufficient conditions for the existence of internal rate of return, modified internal rate of return of physical investment; profitability index of physical investments. W06, W07, W08, W09, C05, C06, C07, C08 MEK02
2 TK04 Test based on the materials covered during lectures and tutorials. C09 MEK01 MEK02
2 TK05 Financial investment described by deterministic sequence of payments. W10, C10 MEK03
2 TK06 Dynamic methods of evaluation of effectiveness of investments: net present value of financial investment, properties of net present value, purchase coupon bonds and evaluation of investment by using net present value, internal rate of return and its properties, sufficient conditions for the existence of internal rate of return, internal rate of return for bonds; external rate of return, average duration of financial investments, properties of average duration, the relation between average duration and flexibility of financial investments, average duration of bonds, payback period of financial investments and its assessment. W11, W12, W13, W14, W15, C11, C12, C13, C14 MEK02 MEK03
2 TK07 Test based on the materials covered during lectures and tutorials. C15 MEK02 MEK03

The student's effort

The type of classes The work before classes The participation in classes The work after classes
Lecture (sem. 2) contact hours: 30.00 hours/sem.
 complementing/reading through notes: 5.00 hours/sem.
Class (sem. 2) The preparation for a Class: 15.00 hours/sem.
The preparation for a test: 10.00 hours/sem.
 contact hours: 30.00 hours/sem.
 Finishing/Studying tasks: 15.00 hours/sem.
Advice (sem. 2) The preparation for Advice: 2.00 hours/sem.
 The participation in Advice: 4.00 hours/sem.
Credit (sem. 2)

The way of giving the component module grades and the final grade

The type of classes The way of giving the final grade
Lecture A credit for the lecture is based on attendance at the lectures.
Class A credit for the tutorials is based on the results of two tests and oral answers.
The final grade

Sample problems

Required during the exam/when receiving the credit
(-)

Realized during classes/laboratories/projects
(-)

Others
(-)

Can a student use any teaching aids during the exam/when receiving the credit : no

The contents of the module are associated with the research profile no